Answer: 
, 
, 
and 
Step-by-step explanation:
Here, x represents the number of hours Zoe spent running on her wheel and y represents the number of hours spent scratching her cage.
Julie was awoke for at least an hour running on her exercise wheel and scratching the of her cage.
⇒
She ran on her wheel at least twice as long as she scratched at the corners of her cage.
⇒
Also, She spent more than 1/4 hour running on her wheel.
⇒
And, we know that number of hours can not be negative.
⇒
Therefore, the complete system of inequality which shows the given situation is,
, and ,
Note: the feasible region ( covered by the given system) is shown in the below graph.
Answer:
31.99 sorry if wrong
Step-by-step explanation:
Convert each mixed number to an improper fraction
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Convert 6&1/2 to an improper fraction
6&1/2 = (6*2+1)/2
6&1/2 = (12+1)/2
6&1/2 = 13/2
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Do the same for 9&1/4
9&1/4 = (9*4+1)/4
9&1/4 = (36+1)/4
9&1/4 = 37/4
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Now multiply the improper fractions 13/2 and 37/4. Multiply straight across
(13/2)*(37/4) = (13*37)/(2*4)
(13/2)*(37/4) = 481/8
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The last step is to use long division to find the mixed number equivalent of 481/8
Or we an say
60*8 = 480
So 60*8+1 = 480+1
which means
481/8 = (480+1)/8 = 480/8+1/8 = 60&1/8
Making the final answer to be choice C
Another way to get the answer is to convert 481/8 into a decimal to get 60.125 and then convert that back to a mixed number. You should get 60&1/8
Answer:
11.6 foot
Step-by-step explanation:
Length of the Ladder=12 foot
Distance of the base of the Ladder from the House=3 foot
Since the ladder leans against the wall in a slant position, it is the hypotenuse.
From Pythagoras Theorem,
Hypotenuse ²= Opposite ²+ Adjacent ²
12²=3²+x²
x²= 12²-3²=144-9=135
x=√135=11.61895003862
The Ladder reaches up to a height of 11.6 foot (to the nearest tenth) on the house.
